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5206015314 = 2341910316421
BaseRepresentation
bin1001101100100110…
…10111110101010010
3111102211000222110000
410312103113311102
541130214442224
62220330550430
7243003254133
oct46623276522
914384028400
105206015314
1122317293a5
121013598416
1364c740b46
143755abc8a
1520709d0c9
hex1364d7d52

5206015314 has 80 divisors (see below), whose sum is σ = 12399266880. Its totient is φ = 1627944480.

The previous prime is 5206015313. The next prime is 5206015337. The reversal of 5206015314 is 4135106025.

5206015314 is a `hidden beast` number, since 5 + 2 + 0 + 601 + 53 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5206015313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308824 + ... + 325244.

It is an arithmetic number, because the mean of its divisors is an integer number (154990836).

Almost surely, 25206015314 is an apocalyptic number.

5206015314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5206015314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199633440).

5206015314 is an abundant number, since it is smaller than the sum of its proper divisors (7193251566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5206015314 is a wasteful number, since it uses less digits than its factorization.

5206015314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16557 (or 16548 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5206015314 is about 72152.7221523901. The cubic root of 5206015314 is about 1733.1459917430.

The spelling of 5206015314 in words is "five billion, two hundred six million, fifteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 103 114 162 171 206 309 342 513 618 927 1026 1539 1854 1957 2781 3078 3914 5562 5871 8343 11742 16421 16686 17613 32842 35226 49263 52839 98526 105678 147789 158517 295578 311999 317034 443367 623998 886734 935997 1330101 1691363 1871994 2660202 2807991 3382726 5074089 5615982 8423973 10148178 15222267 16847946 25271919 30444534 32135897 45666801 50543838 64271794 91333602 96407691 137000403 192815382 274000806 289223073 578446146 867669219 1735338438 2603007657 5206015314